We have directly detected millimeter wave (mm-wave) free space superradiant emission from Rydberg states (n ∼ 30) of barium atoms in a single shot. We trigger the cooperative effects with a weak initial pulse and detect with single-shot sensitivity and 20 ps time resolution, which allows measurement and shot-by-shot analysis of the distribution of decay rates, time delays, and timedependent frequency shifts. Cooperative line shifts and decay rates are observed that exceed values that would correspond to the Doppler width of 250 kHz by a factor of 20 and the spontaneous emission rate of 50 Hz by a factor of 10 5 . The initial superradiant output pulse is followed by evolution of the radiation-coupled many-body system toward complex long-lasting emission modes. A comparison to a mean-field theory is presented which reproduces the quantitative time-domain results, but fails to account for either the frequency-domain observations or the long-lived features.Superradiance is an effect in which emitters radiate collectively and coherently due to constructive interference between electric dipoles that communicate with each other via a shared radiation field [1]. Subradiance is exactly the opposite -a collective inhibition of radiation due to destructive interference between the radiation from an array of dipoles [2,3]. These cooperative phenomena provide insights into fundamental many-body physics [4][5][6] and suggest applications ranging from quantum information storage [7][8][9] to narrow linewidth lasers [10][11][12][13].The large electric dipole transition moments and long wavelengths associated with Rydberg-Rydberg transitions make these transitions natural candidates for observing collective effects at relatively low atom number densities (ρ ∼ 10 6 cm −3 ). Hydrogenic scaling rules show that, for ∆n = 1 (where n is the principal quantum number), the transition dipole moment between Rydberg states scales as µ ∝ n 2 and the wavelength scales as λ ∝ n 3 . The transition dipole moment controls only the individual atom spontaneous decay rate, which is independent of density. Collective effects, however, scale in multiples of the spontaneous decay rate. The multiplicative factors scale as the optical depth (OD = ρλ 2 L, where ρ is the density and L is the length of the sample) [6] or the relative density (RD = ρλ 3 ) [14]. Thus, these two scaling rules result in strong collective effects at several orders of magnitude lower densities than between valence states of atoms or molecules. Superradiant emission is also focused primarily on the transition with the smallest ∆n allowed by the ∆ = ±1 angular momentum selection rule [15]. For Rydberg states with n ∼ 30, ∆n = 1 transitions lie at ∼300 GHz (λ ∼ 1mm) and have transition moments on the order of 500 debye [16].Typically, the total number of Rydberg state atoms in a single experiment has been too small to permit direct detection of the emitted electric field. Previous studies of collective effects in ensembles of Rydberg states have relied on state-selective field ioni...